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Finding the Fourth Proportional to 9,211.14, 13,813.92 and 4,826.16

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Solution

The fourth proportional to 9,211.14, 13,813.92 and 4,826.16 is: 7,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.14 : 13,813.92 = 4,826.16 : x
  2. Step 2: Convert to fraction form
    9,211.14/13,813.92 = 4,826.16/x
  3. Step 3: Cross multiply
    9,211.14x = 13,813.92 × 4,826.16
  4. Step 4: Simplify right side
    9,211.14x = 66,668,188.15
  5. Step 5: Solve for x
    x = 66,668,188.15/9,211.14
  6. Step 6: Final answer
    x = 7,237.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.